The monoid of endomorphisms of disconnected hypergraphs
We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphis...
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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152316 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The monoid of endomorphisms of disconnected hypergraphs / Yu.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 134–150. — Бібліогр.: 22 назв. — англ. |